Skip to main content
SpringerLink
Log in

Intermittency in Turbulence: Multiplicative Random Process in Space and Time

  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

We present a simple stochastic algorithm for generating multiplicative processes with multiscaling both in space and in time. With this algorithm we are able to reproduce a synthetic signal with the same space and time correlation as the one coming from shell models for turbulence and the one coming from a turbulent velocity field in a quasi-Lagrangian reference frame.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. G. Parisi and U. Frisch, On the singularity structure of fully developed turbulence, in Turbulence and Predictability of Geophysical Fluid Dynamics, M. Ghil, R. Benzi, and G. Parisi, eds. (North-Holland, Amsterdam, 1985), p. 84.

    Google Scholar 

  2. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1995).

    Google Scholar 

  3. G. Falkovich, K. Gavedzki, and M. Vergassola, Rev. Mod. Phys. 73:913(2001).

    Google Scholar 

  4. R. Benzi, L. Biferale, A. Crisanti, G. Paladin, M. Vergassola, and A. Vulpiani Physica D 65:352(1993).

    Google Scholar 

  5. L. Biferale, G. Boffetta, A. Celani, A. Crisanti, and A. Vulpiani Phys. Rev. E 57:R6261(1998).

    Google Scholar 

  6. G. Eyink, Phys. Lett. A 172:355(1993).

    Google Scholar 

  7. V. S. L'vov and I. Procaccia, Phys. Rev. Lett. 76:2898(1996).

    Google Scholar 

  8. V. S. L'vov, E. Podivilov, and I. Procaccia, Phys. Rev. E 55:7030-7035 (1997).

    Google Scholar 

  9. L. Biferale, G. Boffetta, A. Celani, and F. Toschi, Physica D 127:187-197 (1999).

    Google Scholar 

  10. F. Toschi, E. Leveque, and G. Ruiz-Chavarria, Phys. Rev. Lett. 85:1436(2000).

    Google Scholar 

  11. F. Toschi, G. Amati, S. Succi, R. Benzi, and R. Piva, Phys. Rev. Lett. 82:5044(1999).

    Google Scholar 

  12. P. Gualtieri, C. M. Casciola, R. Benzi, G. Amati, and R. Piva, Phys. Fluids 14:583(2002).

    Google Scholar 

  13. R. Benzi, L. Biferale, and F. Toschi, Phys. Rev. Lett. 80:3244(1998).

    Google Scholar 

  14. R. Benzi, L. Biferale, M. Sbragaglia, and F. Toschi, Intermittency in turbulence: Computing the scaling exponents in shell models, Phys. Rev. E, in press.

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Fisica, Università “Tor Vergata,”, Via della Ricerca Scientifica 1, I-00133, Roma, Italy

    Roberto Benzi & Luca Biferale

  2. Sezione di Roma “Tor Vergata,”, INFM, Via della Ricerca Scientifica 1, I-00133, Roma, Italy

    Roberto Benzi, Luca Biferale & Federico Toschi

  3. Istituto per le Applicazioni del Calcolo, CNR, Viale del Policlinico 137, I-00161, Roma, Italy

    Federico Toschi

Authors
  1. Roberto Benzi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Luca Biferale
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Federico Toschi
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Benzi, R., Biferale, L. & Toschi, F. Intermittency in Turbulence: Multiplicative Random Process in Space and Time. Journal of Statistical Physics 113, 783–798 (2003). https://doi.org/10.1023/A:1027360619182

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1027360619182

Search

Navigation